{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cleanlines(lines):\n",
    "    #清除重复的线条\n",
    "    for lineindex, line in enumerate(lines):\n",
    "        if line[0]<0:\n",
    "            lines[lineindex][0] = -line[0]\n",
    "            lines[lineindex][1] = line[1]-np.pi    \n",
    "    newlines = []\n",
    "    newlines.append(lines.pop(5))\n",
    "    for line in lines:\n",
    "        flag = 0\n",
    "    for newline in newlines:\n",
    "        if((abs(line[0]-newline[0])<10)&(abs(line[1]-newline[1])<0.1)):\n",
    "            flag = 1\n",
    "    if(flag==0):\n",
    "        newlines.append(line)\n",
    "    return newlines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def IntersectionPoints(lines):\n",
    "    #求出交点\n",
    "    points = []\n",
    "    if(len(lines)==4):\n",
    "        horLine = []\n",
    "        verLine = []\n",
    "        for line in lines:\n",
    "            if((line[1]>(0-0.1))&(line[1]<(0+0.1))):\n",
    "                horLine.append(line)\n",
    "            else:\n",
    "                verLine.append(line)\n",
    "        print(horLine)\n",
    "        for l1 in horLine:\n",
    "            for l2 in verLine:\n",
    "                a = np.array([\n",
    "                    [np.cos(l1[1]), np.sin(l1[1])],\n",
    "                    [np.cos(l2[1]), np.sin(l2[1])]\n",
    "                ])\n",
    "                b = np.array([l1[0],l2[0]])\n",
    "                points.append(np.linalg.solve(a, b))\n",
    "        return points\n",
    "    else:\n",
    "        print(\"the number of lines error\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x271164a6fd0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread('try.jpg')\n",
    "img_gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)\n",
    "ret, im2 = cv2.threshold(img_gray, 0, 255, cv2.THRESH_BINARY+cv2.THRESH_OTSU)\n",
    "#plt.imshow(img_gray,plt.cm.gray)\n",
    "plt.imshow(im2,plt.cm.gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gimg = cv2.GaussianBlur(img_gray, (5, 5), 0)\n",
    "gret, gim2 = cv2.threshold(gimg, 0, 255, cv2.THRESH_BINARY+cv2.THRESH_OTSU)\n",
    "plt.imshow(gim2, plt.cm.gray)\n",
    "edges = cv2.Canny(gim2, 45,135)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the number of lines error\n",
      "248.0 1.5882495641708374\n",
      "307.0 0.01745329238474369\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x271165fbbb0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "minLineLength = 10\n",
    "maxLineGap = 5\n",
    "lines = cv2.HoughLines(edges, 1, np.pi/180, 120)\n",
    "lines = [line[0] for line in lines.tolist()]\n",
    "lines = cleanlines(lines)\n",
    "points = IntersectionPoints(lines)##\n",
    "for line in lines:\n",
    "    rho, theta = line\n",
    "    print(rho, theta)\n",
    "    a = np.cos(theta)\n",
    "    b = np.sin(theta)\n",
    "    x0 = a*rho\n",
    "    y0 = b*rho\n",
    "    x1 = int(x0 + 2000*(-b))\n",
    "    y1 = int(y0 + 2000*(a))\n",
    "    x2 = int(x0 - 2000*(-b))\n",
    "    y2 = int(y0 - 2000*(a))\n",
    "    cv2.line(img,(x1, y1), (x2, y2), (0, 255, 0), 1)\n",
    "plt.imshow(img, plt.cm.gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the number of lines error\n"
     ]
    }
   ],
   "source": [
    "points = IntersectionPoints(lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "'NoneType' object is not iterable",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-8-3332b33b473a>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;32mfor\u001b[0m \u001b[0mpoint\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mpoints\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      2\u001b[0m     \u001b[0mcv2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcircle\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpoint\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpoint\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m3\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m255\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[0mmidx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mpoint\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mpoint\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mpoints\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mmidy\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mpoint\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mpoint\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mpoints\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[0mcv2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcircle\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmidx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmidy\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m3\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m255\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mTypeError\u001b[0m: 'NoneType' object is not iterable"
     ]
    }
   ],
   "source": [
    "for point in points:\n",
    "    cv2.circle(img, (int(point[0]),int(point[1])), 3, (0,0,255))\n",
    "midx = np.mean([point[0] for point in points])\n",
    "midy = np.mean([point[1] for point in points])\n",
    "cv2.circle(img, (int(midx), int(midy)), 3, (0,0,255))\n",
    "plt.figure()\n",
    "plt.imshow(img)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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